This volume presents the proceedings of the Joint Summer Research Conference on Algebraic $K$-theory held at the University of Washington in Seattle. High-quality surveys are written by leading experts in the field. Included is the most up-to-date published account of Voevodsky's proof of the Milnor conjecture relating the Milnor $K$-theory of fields to Galois cohomology. This book offers a comprehensive source for cutting-edge research on the topic.
Conjectures de type local-global sur l'image des groupes de Chow dans la cohomologie etale by J.-L. Colliot-Thelene Algebraic theory of characteristic classes of bundles with connection by H. Esnault Polylogarithmic identities in cubical higher Chow groups by H. Gangl and S. Muller-Stach Topological cyclic homology of schemes by T. Geisser and L. Hesselholt Filtrations on higher algebraic $K$-theory by H. Gillet and C. Soule Motivic cohomology of smooth geometrically cellular varieties by B. Kahn Integral homology of $PGL 2$ over elliptic curves by K. P. Knudson Application of motivic complexes to negligible classes by E. Peyre Two-primary algebraic $K$-theory of spaces and related spaces of symmetries of manifolds by J. Rognes A mini-course on recent progress in algebraic $K$-theory and its relationship with topology and analysis by J. Rosenberg The Chow ring of a classifying space by B. Totaro Voevodsky's Seattle lectures: $K$-theory and motivic cohomology by V. Voevodsky Products in higher Chow groups and motivic cohomology by C. Weibel.